2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?​

Answer:

1. Y= 5-3x

2. Y= -4-x

3. Y= -9-x

4. Y= 11-3x

5. Y=2x=5

The distance between Sacramento and Seattle is approximately 720 miles.

To find the distance between Sacramento and Seattle, we need to calculate the total distance traveled during the trip. We can do this by multiplying the average speed by the time traveled.

Let's break down the information given:

Kaylee's average speed from Sacramento to Seattle was 35 miles per hour (mph).

She stayed in Seattle for 25 hours.

Her average speed on the trip back was 55 mph.

The total time for the round trip was 41 hours.

First, let's calculate the distance traveled from Sacramento to Seattle:

Total Distance =Total Speed × Time

Total Distance  = (35+55) mph × (41 hours - 25 hours)

Total Distance  = 90 mph × 16 hours

Total Distance  = 1440 miles

Total distance travelled by Kaylee drove was 1440 miles

So the distance from Sacramento to Seattle is 720 miles.

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Answer:

It's the positive i, no matter what i is equal to.

Answer:

first answer is correct

y = -1/2 x^2 + x + 1

Step-by-step explanation:

based on the graph, you can find two points

(2,1) and (0,1)

I input (2, 1) to each equation to check

y = -1/2 x^2 + x + 1 is correct

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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Given:

The circle graph shows how Ann's family budgets a total of $91,000 for the year.

Required:

To find the percentage of utilities, food and transportation.

Explanation:

The percentage of utilities is:

The percentage of food is :

The percentage of transportation is:

Final Answer:

Answer: 7 hours

Explanation: Shop charges $11 fixed fee ($67-11= 56)

Shop charges $8 per hour

56÷8= 7

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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Answer:

4) 81/16

Step-by-step explanation:

Just solve the equation,

{3^2.5^0/4}^2

(9×1/4)^2

(81/16)

Hope it helps!

Answer:

4

Step-by-step explanation:

The description that most accurate for a Zero-Based Budget is:

b. You put every dollar of your take-home pay into a budget category each month.

A zero-based budget is a budgeting method in which your total income minus your total expenses equals zero. This means that every dollar of your income is assigned a specific purpose, either to be saved or spent on specific expenses. The goal of this method is to ensure that you have accounted for all of your income and that you do not have any leftover funds that are not allocated to a specific purpose. In this sense, option b, "You put every dollar of your take-home pay into a budget category each month" is the most accurate description of a zero-based budget.

A zero-based budget can be applied to any source of income, whether it be a salary, freelance work, rental income, or any other type of income. The key is to allocate every dollar of that income to a specific purpose, such as savings, expenses, or investments, to ensure that all of the income is accounted for. This budgeting method can help individuals and households to better manage their finances by ensuring that they are not overspending and that they have a plan for all of their income.

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The chance of rolling two 5s and flipping two heads can be calculated by multiplying the odds together because each cube and coin flip is independent. the probability that Kyle wins the prize is \(1/144\)

The probability of rolling a 5 on a number cube is 1/6, and the probability of flipping heads on a coin is 1/2.

Since each roll of the cube and flip of the coin is independent, we can find the probability of rolling two 5's and flipping two heads by multiplying the probabilities together:

P(rolling two 5's and flipping two heads) = P(rolling a 5) * P(rolling a 5) * P(flipping heads) * P(flipping heads)

\(= (1/6) \times (1/6) \times (1/2) \times (1/2)\)

\(= 1/144\)

Therefore, the probability that Kyle wins the prize is ,\(1/144\) or approximately  \(0.0069\) (rounded to four decimal places).

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The trinomial 3x²+7x-12x-34-2x²+10 simplifies to x² - 5x - 24, which factors into (x + 3) (x - 8).

Alice was provided with the trinomial 3x²+7x-12x-34-2x²+10. To simplify the trinomial, Alice will need to group the like terms and combine them. Here's how to do it:

3x² - 2x² = x²7x - 12x = -5xNow, the trinomial becomes:x² - 5x - 24To factorize the trinomial, Alice can use different methods such as factoring by grouping, completing the square, quadratic formula, or graphing.

Here's how to factorize the trinomial by grouping:x² - 5x - 24 = (x + 3) (x - 8)Therefore, Alice can check her answer by expanding the factored expression.

When she expands (x + 3) (x - 8), she should get the original trinomial:x² - 5x - 24 = x(x - 8) + 3(x - 8) = (x + 3) (x - 8).Alice can also use the quadratic formula to solve the trinomial.

Here's how:Given the trinomial ax² + bx + c, where a = 1, b = -5, and c = -24The quadratic formula is:x = [-b ± √(b² - 4ac)] / 2aSubstituting the values of a, b, and c:x = [5 ± √(5² - 4(1)(-24))] / 2x = [5 ± √(121)] / 2x = [5 ± 11] / 2x = 8 or x = -3

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The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge.

When applying the z-transform on the sequence h, the ROC concept is applied to the function H(z) (n). The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge. Neither X(z), the input, nor Y(z), the output, are involved in the ROC.

The region (regions) where the z-transform converges is known as the region of convergence (ROC). We can uniquely determine the inverse z-transform thanks to ROC. Let's first think about some examples. The unit sample δ(n)has z-transform 1 , hence ROC exists all the z plane .

The Registrar of Companies assigns the company registration number, or CIN number as it is known in India (ROC). The Ministry of Corporate Affairs oversees the ROC, which is present in several Indian states. It is utilized to locate the essential information for every firm that is registered in India.

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Conceptually, the arithmetic and geometric average returns are different measures used to describe the performance of an investment or an asset over a specific period.

The arithmetic average return, also known as the mean return, is calculated by adding up all the individual returns and dividing by the number of periods. It represents the average return for each period independently.

On the other hand, the geometric average return, also called the compound annual growth rate (CAGR), considers the compounding effect of returns over time. It is calculated by taking the nth root of the total cumulative return, where n is the number of periods.

When to use each measure depends on the context and purpose of the analysis:

1. Arithmetic Average Return: This measure is typically used when you want to evaluate the average return for each individual period in isolation. It is useful for analyzing short-term returns, such as monthly or quarterly returns. The arithmetic average return provides a simple and straightforward way to assess the periodic performance of an investment.

2. Geometric Average Return: This measure is more suitable when you want to understand the compounded growth of an investment over an extended period. It is commonly used for long-term investment horizons, such as annual returns over multiple years.

The geometric average return provides a more accurate representation of the overall growth rate, accounting for the compounding effect and reinvestment of returns.

In summary, the arithmetic average return is suitable for analyzing short-term performance, while the geometric average return is preferred  evaluating long-term growth and the compounding effect of returns.

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Answer:

100:64

Step-by-step explanation:

i don't know how i got it LOL

The ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or \(\dfrac{a}{b}\)

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

\(a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3\)

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Let we suppose that:

Then we get:

As per the given information:

The circumference of a circle B is 80% of the circumference of circle A, or:

\(2\pi s \: \rm units\) = 80% of \(2\pi r \: \rm units\)

or:

\(2\pi s = \dfrac{2\pi r}{100} \times 80\\\\s = 0.8r \: \rm units\)

Also, we have:

The rato of the area of the circle A to the area of the circle B is:

\(Area(A): Area(B) = \dfrac{\pi r^2}{\pi s^2} = \left( \dfrac{r}{s}\right)^2\)

since we've got \(s= 0.8r\), therefore,

\(Area(A): Area(B)= \left( \dfrac{r}{s}\right)^2 = \left(\dfrac{r}{0.8r}\right)^2 = \dfrac{100}{64} \\\\Area(A): Area(B)=\dfrac{100}{64} = 100:64\)

Thus, the ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

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When the explanatory variable is categorical and the response variable is quantitative, a box plot or a bar plot would be appropriate to display the relationship between the two variables.

When the explanatory variable is categorical and the response variable is quantitative, a box plot or a bar plot would be appropriate.

A box plot (also known as a box-and-whisker plot) displays the distribution of the response variable within each category of the explanatory variable. It shows the median, quartiles, and outliers of the data, making it useful for visualizing differences in central tendency and spread between categories.

A bar plot (also known as a bar chart) displays the mean, median, or sum of the response variable for each category of the explanatory variable. It is useful for comparing the values of the response variable between categories.

Both box plots and bar plots are effective in displaying the relationship between a categorical variable and a quantitative variable. The choice between the two would depend on the specific research question, the nature of the data, and the intended audience.

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These plots help visualize the distribution of the quantitative response variable across different categories in the explanatory variable.

When the explanatory variable is categorical and the response variable is quantitative, a bar chart or a box plot would be appropriate. A bar chart displays the mean or median of each category, while a box plot displays the distribution of each category including the median, quartiles, and outliers. These plots help to visualize the relationship between the categorical and quantitative variables and identify any patterns or differences between categories.
When the explanatory variable is categorical and the response variable is quantitative, an appropriate type of plot to use would be a box plot or a violin plot. These plots help visualize the distribution of the quantitative response variable across different categories in the explanatory variable.

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Answer:

2\(x^{3}\)+2\(x^{2}\)-28x+12

Step-by-step explanation:

\(\left(\dfrac{3^8}{3^5} \right)^3\\\\\\=\left(3^{8-5}\right)^3\\\\=(3^3)^3\\\\=(3)^{3\cdot 3}\\\\=3^9\)

The statement "If f(n) = O(g(n)) and g(n) = Ω(h(n)), then f(n) = Θ(h(n))" is actually true.

This can be proven using the formal definitions of the O-notation, Ω-notation, and Θ-notation:

f(n) = O(g(n)) means that there exist positive constants c and n0 such that |f(n)| ≤ c|g(n)| for all n ≥ n0.

g(n) = Ω(h(n)) means that there exist positive constants c' and n0' such that |g(n)| ≥ c'|h(n)| for all n ≥ n0'.

f(n) = Θ(h(n)) means that there exist positive constants c1, c2, and n1 such that c1|h(n)| ≤ |f(n)| ≤ c2|h(n)| for all n ≥ n1.

If we assume that f(n) = O(g(n)) and g(n) = Ω(h(n)), we can use the definitions above to show that f(n) = Θ(h(n)).

Since g(n) = Ω(h(n)), we have |g(n)| ≥ c'|h(n)| for some positive constants c' and n0', and since f(n) = O(g(n)), we have |f(n)| ≤ c|g(n)| for some positive constants c and n0.

Combining these two inequalities, we get:

|f(n)| ≤ c|g(n)| ≤ c(c'/c)|h(n)|

Therefore, f(n) = Θ(h(n)) with constants c1 = 1 and c2 = c(c'/c), and n1 = max(n0, n0').

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Answer: 280 for number 2

Step-by-step explanation: I think I ain’t not % sure

None of the given ordered pairs (9,5), (5,4), (6,6) and (3,4) is a solution to the inequality y > x + 3.

Given the inequality in the question:

y > x + 3

Also, given the ordered pairs: (9,5), (5,4), (6,6), (3,4).

To determine which of the given ordered pairs is a solution to the inequality y > x + 3,

we can substitute the values of x and y from each pair into the inequality and check if it holds true.

Checking for: (9,5)

y > x + 3

Is 5 > 9 + 3?

Is 5 > 12?

No, this inequality is not satisfied, so (9, 5) is not a solution.

(5, 4):

y > x + 3

Is 4 > 5 + 3?

Is 4 > 8?

No, this inequality is not satisfied, so (5, 4) is not a solution.

(6, 6):

y > x + 3

Is 6 > 6 + 3?

Is 6 > 9?

No, this inequality is not satisfied, so (6, 6) is not a solution.

(3, 4):

Is 4 > 3 + 3?

Is 4 > 6

No, this inequality is not satisfied, so (3, 4) is not a solution.

Therefore, none of the given pairs is a solution.

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A data analyst uses bias()  to find out how much the predicted outcome and the actual outcome of their data model differ.

The act of unfairly favoring or opposing a certain person or item due to allowing your judgment to be influenced by your opinions: The senator charged bias on the part of the media. Journalists must be unbiased and free from political bias.

There is a lack of objectivity in the way we view things. Both intentional and inadvertent biases are possible. When given an option, a person might prefer one shirt over two others if it also happens to be their favorite color.

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C. The standard deviation is 0.1204. The 10% condition is met because it is very likely there are more than 150 bass in the lake.

The standard deviation of the sampling distribution can be calculated as follows:

σ = √(p(1-p) / n)

Where:

p = Proportion of bass (0.32)

n = Sample size (15)

Therefore, σ = √(0.32(1-0.32) / 15) = 0.1204

The 10% condition is met because it is very likely there are more than 150 bass in the lake. This is because 0.32 x 500 (the total number of fish in the lake) = 160, which is greater than 150.

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The rate at which the top of the ladder is moving down the wall = 9 feet/second.

This is a problem of right triangle similarity.

We can use the Pythagorean theorem to find the height of the ladder, which is the hypotenuse of a right triangle.

We can use the relationship between similar triangles to find the rate at which the top of the ladder is moving down the wall.

Let x be the distance of the base of the ladder from the wall.

We know that the ladder is 26 feet long, so the height of the ladder is the square root of (26^2 - x^2).

We know that the base of the ladder is moving away from the wall at a rate of 3 feet per second.

So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (height of ladder / x)

When x = 10 feet, the height of the ladder is the square root of (26^2 - 10^2) = the square root of (676) = 26 feet.

So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (26 feet / 10 feet) = 9 feet/second.

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The probability that a stock will show a decrease in its closing price on five consecutive​ days is 1 / 8 .

It is considered that both price changes for stocks between the start and finish of a trading day are equally likely random events.

1/2 = P(decrease) = P(increase)

the likelihood that a stock will have three straight days of declining closing prices Is ,

(1/2)^3

= 1/8

The price of a company's stock will increase if it produces a good that is in high demand or that not many other companies are producing. Stock prices have a tendency to level out when the demand for the good equals the supply. The share price of the corporation will probably decline if supply exceeds demand.

Additionally, it depends on how successfully and distinctively the business produces the good. Even when there is a lot of supply, their share price can keep the same or even rise if they come out with a new variation on an old standard.

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Answer:

-7, 9.

Step-by-step explanation:

-First, we have to locate (1, 9) as 1 and 9 are positive numbers, we have to locate it to a quadrant that is positive (quadrant 1).

-Second, we have to draw or have a web where you have the coordinate plane to locate (1, 9). The x-coordinate always comes first, followed by the y-coordinate.

-Third, after you located (1, 9), then you go 8 units down. 1 is coordinate x and 9 coordinate y.

-Fourth, know you have the answer: -7, 9.

-Hope this helps.